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Finding the Third Proportional to 39,332 and 85,575

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Solution

The third proportional to 39,332 and 85,575 is: 186,186.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,332 : 85,575 = 85,575 : x
  2. Step 2: Convert to fraction form
    39,332/85,575 = 85,575/x
  3. Step 3: Cross multiply
    39,332x = 85,575 × 85,575
  4. Step 4: Simplify right side
    39,332x = 7,323,080,625
  5. Step 5: Solve for x
    x = 7,323,080,625/39,332
  6. Step 6: Final answer
    x = 186,186.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.